{Diverging series} (Math.), a series whose terms are larger
as the series is extended; a series the sum of whose terms
does not approach a finite limit when the series is
extended indefinitely; -- opposed to a {converging
series}.
[1913 Webster]

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Diverging — Di*ver ging, a. Tending in different directions from a common center; spreading apart; divergent. [1913 Webster] {Diverging series} (Math.), a series whose terms are larger as the series is extended; a series the sum of whose terms does not… … The Collaborative International Dictionary of English

Divergent series — Divergent Di*ver gent, a. [Cf. F. divergent. See {Diverge}.] 1. Receding farther and farther from each other, as lines radiating from one point; deviating gradually from a given direction; opposed to {convergent}. [1913 Webster] 2. (Optics)… … The Collaborative International Dictionary of English

Converging series — Converging Con*ver ging, a. Tending to one point; approaching each other; convergent; as, converging lines. Whewell. [1913 Webster] {Converging rays}(Opt.), rays of light, which, proceeding from different points of an object, tend toward a single … The Collaborative International Dictionary of English

Harmonic series (mathematics) — In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string s… … Wikipedia

Mana (series) — Mana Artwork of the Mana Tree, from Children of Mana Genres Action role playing Action adventure Tactical role playing … Wikipedia

infinite series — Math. a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence. [1790 1800] * * * In mathematics, the sum of infinitely many numbers, whose relationship … Universalium

Divergent — Di*ver gent, a. [Cf. F. divergent. See {Diverge}.] 1. Receding farther and farther from each other, as lines radiating from one point; deviating gradually from a given direction; opposed to {convergent}. [1913 Webster] 2. (Optics) Causing… … The Collaborative International Dictionary of English

Converging — Con*ver ging, a. Tending to one point; approaching each other; convergent; as, converging lines. Whewell. [1913 Webster] {Converging rays}(Opt.), rays of light, which, proceeding from different points of an object, tend toward a single point.… … The Collaborative International Dictionary of English

Converging rays — Converging Con*ver ging, a. Tending to one point; approaching each other; convergent; as, converging lines. Whewell. [1913 Webster] {Converging rays}(Opt.), rays of light, which, proceeding from different points of an object, tend toward a single … The Collaborative International Dictionary of English